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30840075 = 3352761107
BaseRepresentation
bin111010110100…
…1010100001011
32011000211122000
41311221110023
530343340300
63021002043
7523064520
oct165512413
964024560
1030840075
1116454672
12a3b3323
13650a486
14414b147
152a92c00
hex1d6950b

30840075 has 96 divisors (see below), whose sum is σ = 66424320. Its totient is φ = 13737600.

The previous prime is 30840053. The next prime is 30840101. The reversal of 30840075 is 57004803.

It is not a de Polignac number, because 30840075 - 218 = 30577931 is a prime.

It is a super-2 number, since 2×308400752 = 1902220452011250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 288172 + ... + 288278.

It is an arithmetic number, because the mean of its divisors is an integer number (691920).

Almost surely, 230840075 is an apocalyptic number.

30840075 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

30840075 is an abundant number, since it is smaller than the sum of its proper divisors (35584245).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30840075 is a wasteful number, since it uses less digits than its factorization.

30840075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 30840075 is about 5553.3841034094. The cubic root of 30840075 is about 313.5969343800.

Adding to 30840075 its reverse (57004803), we get a palindrome (87844878).

The spelling of 30840075 in words is "thirty million, eight hundred forty thousand, seventy-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 61 63 75 105 107 135 175 183 189 225 305 315 321 427 525 535 549 675 749 915 945 963 1281 1525 1575 1605 1647 2135 2247 2675 2745 2889 3745 3843 4575 4725 4815 6405 6527 6741 8025 8235 10675 11235 11529 13725 14445 18725 19215 19581 20223 24075 32025 32635 33705 41175 45689 56175 57645 58743 72225 96075 97905 101115 137067 163175 168525 176229 228445 288225 293715 411201 489525 505575 685335 881145 1142225 1233603 1468575 2056005 3426675 4405725 6168015 10280025 30840075